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Finding the Fourth Proportional to 254,226.66, 381,440.43 and 96,496.98

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Solution

The fourth proportional to 254,226.66, 381,440.43 and 96,496.98 is: 144,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,226.66 : 381,440.43 = 96,496.98 : x
  2. Step 2: Convert to fraction form
    254,226.66/381,440.43 = 96,496.98/x
  3. Step 3: Cross multiply
    254,226.66x = 381,440.43 × 96,496.98
  4. Step 4: Simplify right side
    254,226.66x = 36,807,849,544.90
  5. Step 5: Solve for x
    x = 36,807,849,544.90/254,226.66
  6. Step 6: Final answer
    x = 144,783.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.